In [1]}, it was shown that, under suitable hypotheses of the scale factor for a Milne-like spacetime, the equation of state for the energy density \(\rho \)  and pressure \(p\)  at the big bang is the same as that of a cosmological constant, namely, \(\rho (0) = -p(0)\) . We referred to this property as “the cosmological constant appearing as an initial condition for Milne-like spcetimes." In this paper we generalize this statement to spacetimes which share similar geometrical properties with Milne-like spacetimes but without the strong isotropy assumption associated with them (recall that Milne-like spacetimes are a subclass of FLRW spacetimes and hence are isotropic).
